#include <iostream>
#include <cmath>
#include "point.h"
#include "vector_fancyT.h"
using namespace std;


bool operator == (point & a, point & b)
{
    return (a.x() == b.x() && a.y() == b.y());
}

bool operator != (point & a, point & b)
{
    return (a.x() != b.x() || a.y() != b.y());
}

bool operator == (vector & u, vector & v)
{
    return (u.x() == v.x() && u.y() == v.y());
}

bool operator != (vector & u, vector & v)
{
    return (u.x() != v.x() || u.y() != v.y());
}


void print_triangle(fancy_triangle & t)
{
    cout.setf(ios::fixed);
	cout.setf(ios::showpoint);
	cout.precision(2);
	cout << "(" << t.p1().x() << ", " << t.p1().y() << "), ";
    cout << "(" << t.p2().x() << ", " << t.p2().y() << "), ";   
	cout << "(" << t.p3().x() << ", " << t.p3().y() << "),";
}

 
void main()
{
	int i;
    vector va, vb(3,4), vc(3,0);


	cout << "The lengthes of the three vectors are: ";
    va.print_vector();
	cout << ":" << va.length() << ", ";
	vb.print_vector();
	cout << ":" << vb.length() << ", " ;
	vc.print_vector();
	cout << ":" << vc.length() << ".\n\n";

	point polygon[7]=
			{ point(0,0),   point(15,42), point(35,46),
			  point(40,30), point(20,-30), point(12,-25), point(0,0)
			};

	point a, b(10,10), c(10,0);


	if (a == b || a == c || b == c)
    {
        cout << "The three points can't form a triangle!!\n";
        return;
    }

   
    fancy_triangle t(a,b,c);

    cout << "The center of triangle ";
	print_triangle(t);
	cout << " is (" << t.center().x() << "," << t.center().y() << ").\n";

    cout << "The area of the triangle is " << t.area() << endl << endl;

 	vector s(1,1);
    t.shift(s);
    cout << "After shift ";
	s.print_vector();
	cout << ": ";
	print_triangle(t); 
	cout << endl;
    cout << "The center of triangle is (" << t.center().x()
         << "," << t.center().y() << ").\n";
    cout << "The area of the triangle is " << t.area() << endl << endl;
    
	t = fancy_triangle(point(), point(cos(60.0/180*3.1415926),
	                                  sin(60.0/180*3.1415926)),point(1,0));
	print_triangle(t); 
	double d = 0;
	do
	{
		cout << "\nRotate " << d << " degrees :";
		t = t.rotate(d/180.0*3.1415926);
		print_triangle(t); 
		cout << "\nHow many degrees: ";
		cin >> d;
	} while (d != 0);
}